Random Attractors for Stochastic Retarded 2D-Navier-Stokes Equations with Additive Noise

Abstract EN

In this paper, the existence and the upper semicontinuity of a pullback attractor for stochastic retarded 2D-Navier-Stokes equation on a bounded domain are obtained.

We first transform the stochastic equation into a random equation and then obtain the existence of a random attractor for random equation.

Then conjugation relation between two random dynamical systems implies the existence of a random attractor for the stochastic equation.

At last, we get the upper semicontinuity of random attractor.